20810518-1 - GEOMETRY AND COMBINATORICS

The course aims to provide an introduction to those aspects of linear algebra and geometry needed in science and engineering.

Curriculum

Canali

teacher profile | teaching materials

Programme

Basics of set theory. Maps between sets: invective, surjective, bijective maps.
Basics of propositional logic, truth tables. Equivalence and order relations.
Elements of combinatorics. Binomial coefficients and binomial theorem. Permutations. Integers: divisibility, GCD and Euclid's algorithm, Bézout's identity, linear congruences.
Matrices and operations between matrices. Linear systems and their resolution.

Prerequisiti

none

Core Documentation

Giulia Maria Piacentini Cattaneo
Matematica discreta e applicazioni
Zanichelli 2008


Reference Bibliography

Nicholson Algebra lineare McGraw-Hill 2001

Attendance

recommended attendance

Type of evaluation

written test

teacher profile | teaching materials

Type of evaluation

Grading criteria: Student assessment is based on the Dublin Descriptors and takes into account the level of knowledge, understanding, and critical processing of the topics covered in the course. Students who demonstrate that they have acquired the fundamental concepts and are able to apply them in simple contexts will receive a passing grade. Average grades will be awarded to those who, in addition to mastering the basics, show the ability to analyze and independently elaborate on more complex concepts. The highest grades are reserved for students who demonstrate in-depth understanding, synthesis skills, critical thinking, and autonomy in solving problems, including new ones or those not explicitly addressed during the course.

Canali

teacher profile | teaching materials

Mutuazione: 20810518-1 GEOMETRIA E COMBINATORIA I MODULO in Ingegneria Informatica e dell'Intelligenza Artificiale L-8 R CANALE 1 MEROLA FRANCESCA

Programme

Basics of set theory. Maps between sets: invective, surjective, bijective maps.
Basics of propositional logic, truth tables. Equivalence and order relations.
Elements of combinatorics. Binomial coefficients and binomial theorem. Permutations. Integers: divisibility, GCD and Euclid's algorithm, Bézout's identity, linear congruences.
Matrices and operations between matrices. Linear systems and their resolution.

Prerequisiti

none

Core Documentation

Giulia Maria Piacentini Cattaneo
Matematica discreta e applicazioni
Zanichelli 2008


Attendance

recommended attendance

Type of evaluation

written test

teacher profile | teaching materials

Mutuazione: 20810518-1 GEOMETRIA E COMBINATORIA I MODULO in Ingegneria Informatica e dell'Intelligenza Artificiale L-8 R CANALE 2 SALVITTI DARIO

Type of evaluation

Grading criteria: Student assessment is based on the Dublin Descriptors and takes into account the level of knowledge, understanding, and critical processing of the topics covered in the course. Students who demonstrate that they have acquired the fundamental concepts and are able to apply them in simple contexts will receive a passing grade. Average grades will be awarded to those who, in addition to mastering the basics, show the ability to analyze and independently elaborate on more complex concepts. The highest grades are reserved for students who demonstrate in-depth understanding, synthesis skills, critical thinking, and autonomy in solving problems, including new ones or those not explicitly addressed during the course.

Canali

teacher profile | teaching materials

Mutuazione: 20810518-1 GEOMETRIA E COMBINATORIA I MODULO in Ingegneria Informatica e dell'Intelligenza Artificiale L-8 R CANALE 1 MEROLA FRANCESCA

Programme

Basics of set theory. Maps between sets: invective, surjective, bijective maps.
Basics of propositional logic, truth tables. Equivalence and order relations.
Elements of combinatorics. Binomial coefficients and binomial theorem. Permutations. Integers: divisibility, GCD and Euclid's algorithm, Bézout's identity, linear congruences.
Matrices and operations between matrices. Linear systems and their resolution.

Prerequisiti

none

Core Documentation

Giulia Maria Piacentini Cattaneo
Matematica discreta e applicazioni
Zanichelli 2008


Attendance

recommended attendance

Type of evaluation

written test

teacher profile | teaching materials

Mutuazione: 20810518-1 GEOMETRIA E COMBINATORIA I MODULO in Ingegneria Informatica e dell'Intelligenza Artificiale L-8 R CANALE 2 SALVITTI DARIO

Type of evaluation

Grading criteria: Student assessment is based on the Dublin Descriptors and takes into account the level of knowledge, understanding, and critical processing of the topics covered in the course. Students who demonstrate that they have acquired the fundamental concepts and are able to apply them in simple contexts will receive a passing grade. Average grades will be awarded to those who, in addition to mastering the basics, show the ability to analyze and independently elaborate on more complex concepts. The highest grades are reserved for students who demonstrate in-depth understanding, synthesis skills, critical thinking, and autonomy in solving problems, including new ones or those not explicitly addressed during the course.

Canali

teacher profile | teaching materials

Mutuazione: 20810518-1 GEOMETRIA E COMBINATORIA I MODULO in Ingegneria Informatica e dell'Intelligenza Artificiale L-8 R CANALE 1 MEROLA FRANCESCA

Programme

Basics of set theory. Maps between sets: invective, surjective, bijective maps.
Basics of propositional logic, truth tables. Equivalence and order relations.
Elements of combinatorics. Binomial coefficients and binomial theorem. Permutations. Integers: divisibility, GCD and Euclid's algorithm, Bézout's identity, linear congruences.
Matrices and operations between matrices. Linear systems and their resolution.

Prerequisiti

none

Core Documentation

Giulia Maria Piacentini Cattaneo
Matematica discreta e applicazioni
Zanichelli 2008


Attendance

recommended attendance

Type of evaluation

written test

teacher profile | teaching materials

Mutuazione: 20810518-1 GEOMETRIA E COMBINATORIA I MODULO in Ingegneria Informatica e dell'Intelligenza Artificiale L-8 R CANALE 2 SALVITTI DARIO

Type of evaluation

Grading criteria: Student assessment is based on the Dublin Descriptors and takes into account the level of knowledge, understanding, and critical processing of the topics covered in the course. Students who demonstrate that they have acquired the fundamental concepts and are able to apply them in simple contexts will receive a passing grade. Average grades will be awarded to those who, in addition to mastering the basics, show the ability to analyze and independently elaborate on more complex concepts. The highest grades are reserved for students who demonstrate in-depth understanding, synthesis skills, critical thinking, and autonomy in solving problems, including new ones or those not explicitly addressed during the course.